Analytic number theory for beginners:
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
AMS, American Mathematical Society
[2023]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Student mathematical library
volume 103 |
| Schlagworte: | |
| Online-Zugang: | Verlagsinformation |
| Zusammenfassung: | This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big O, little o, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet L-function, Dirichlets Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory. The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in todays selection of titles in this field. |
| Beschreibung: | "First edition published as Introduction to Analytic Number Theory, Nakhon Pathom: Silpakorn University Printinghouse, 2020." Includes bibliographical references and index First edition available only in Thailand |
| Beschreibung: | xxiii, 376 Seiten Illustrationen, Diagramme |
| ISBN: | 9781470464448 |
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| 520 | |a This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big O, little o, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet L-function, Dirichlets Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory. The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in todays selection of titles in this field. | ||
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| index_date | 2024-07-03T23:40:00Z |
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| spelling | Pongsriiam, Prapanpong 1980- Verfasser (DE-588)1309175497 aut Analytic number theory for beginners Prapanpong Pongsriiam Second edition Providence, Rhode Island AMS, American Mathematical Society [2023] © 2023 xxiii, 376 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Student mathematical library volume 103 "First edition published as Introduction to Analytic Number Theory, Nakhon Pathom: Silpakorn University Printinghouse, 2020." Includes bibliographical references and index First edition available only in Thailand This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big O, little o, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet L-function, Dirichlets Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory. The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in todays selection of titles in this field. bicssc Calculus & mathematical analysis bisacsh MATHEMATICS Mathematical Analysis Number theory Textbooks DLC Number theory Number theory -- Research exposition (monographs, survey articles) Number theory -- Instructional exposition (textbooks, tutorial papers, etc.) Number theory -- Multiplicative number theory Number theory -- Sequences and sets Number theory -- Elementary number theory Number theory -- Additive number theory; partitions Riemannsche Zetafunktion (DE-588)4308419-9 gnd rswk-swf Arithmetische Funktion (DE-588)4368429-4 gnd rswk-swf Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf Primzahlsatz (DE-588)4632581-5 gnd rswk-swf Dirichletsche L-Reihe (DE-588)4510319-7 gnd rswk-swf Primzahlverteilung (DE-588)4175716-6 gnd rswk-swf Siebmethode (DE-588)4181206-2 gnd rswk-swf Mathematics Analytische Zahlentheorie (DE-588)4001870-2 s Arithmetische Funktion (DE-588)4368429-4 s Primzahlverteilung (DE-588)4175716-6 s Dirichletsche L-Reihe (DE-588)4510319-7 s Riemannsche Zetafunktion (DE-588)4308419-9 s Primzahlsatz (DE-588)4632581-5 s Siebmethode (DE-588)4181206-2 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-7357-0 Pongsriiam, Prapanpong, 1980 - Analytic number theory for beginners Second edition Providence, Rhode Island : American Mathematical Society, 2023 1 Online-Ressource (xxiii, 375 Seiten) Student mathematical library volume 103 (DE-604)BV013184751 103 https://bookstore.ams.org/view?ProductCode=STML/103 Verlagsinformation |
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| title_exact_search | Analytic number theory for beginners |
| title_exact_search_txtP | Analytic number theory for beginners |
| title_full | Analytic number theory for beginners Prapanpong Pongsriiam |
| title_fullStr | Analytic number theory for beginners Prapanpong Pongsriiam |
| title_full_unstemmed | Analytic number theory for beginners Prapanpong Pongsriiam |
| title_short | Analytic number theory for beginners |
| title_sort | analytic number theory for beginners |
| topic | bicssc Calculus & mathematical analysis bisacsh MATHEMATICS Mathematical Analysis Number theory Textbooks DLC Number theory Number theory -- Research exposition (monographs, survey articles) Number theory -- Instructional exposition (textbooks, tutorial papers, etc.) Number theory -- Multiplicative number theory Number theory -- Sequences and sets Number theory -- Elementary number theory Number theory -- Additive number theory; partitions Riemannsche Zetafunktion (DE-588)4308419-9 gnd Arithmetische Funktion (DE-588)4368429-4 gnd Analytische Zahlentheorie (DE-588)4001870-2 gnd Primzahlsatz (DE-588)4632581-5 gnd Dirichletsche L-Reihe (DE-588)4510319-7 gnd Primzahlverteilung (DE-588)4175716-6 gnd Siebmethode (DE-588)4181206-2 gnd |
| topic_facet | Calculus & mathematical analysis MATHEMATICS Mathematical Analysis Number theory Textbooks Number theory Number theory -- Research exposition (monographs, survey articles) Number theory -- Instructional exposition (textbooks, tutorial papers, etc.) Number theory -- Multiplicative number theory Number theory -- Sequences and sets Number theory -- Elementary number theory Number theory -- Additive number theory; partitions Riemannsche Zetafunktion Arithmetische Funktion Analytische Zahlentheorie Primzahlsatz Dirichletsche L-Reihe Primzahlverteilung Siebmethode |
| url | https://bookstore.ams.org/view?ProductCode=STML/103 |
| volume_link | (DE-604)BV013184751 |
| work_keys_str_mv | AT pongsriiamprapanpong analyticnumbertheoryforbeginners |